RENORMALIZATION-GROUP TRANSFORMATION FOR QUANTUM LATTICE SYSTEMS AT ZERO TEMPERATURE

被引：42

作者：

HIRSCH, JE ^{[1
]}

MAZENKO, GF ^{[1
]}

机构：

[1] UNIV CHICAGO,DEPT PHYS,CHICAGO,IL 60637

来源：

PHYSICAL REVIEW B | 1979年 / 19卷 / 05期

关键词：

D O I：

10.1103/PhysRevB.19.2656

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

We propose a new renormalization-group (RG) method applicable to quantum systems defined on a lattice at zero temperature. We apply our method to the one-dimensional Ising model in a transverse field and the two-dimensional triangular Ising model in a transverse field. In both cases, a nontrivial fixed point of our RG transformation is found. Critical exponents are calculated and compared with exact and previous RG results. © 1979 The American Physical Society.

引用

页码：2656 / 2663

页数：8

共 21 条

[1] RENORMALIZATION TRANSFORMATIONS FOR QUANTUM SPIN SYSTEMS
BROWER, RC
KUTTNER, F
NAUENBERG, M
SUBBARAO, K
[J]. PHYSICAL REVIEW LETTERS, 1977, 38 (22) : 1231 - 1234
[2] QUANTUM FIELD-THEORIES ON A LATTICE - VARIATIONAL METHODS FOR ARBITRARY COUPLING STRENGTHS AND ISING-MODEL IN A TRANSVERSE MAGNETIC-FIELD
DRELL, SD
WEINSTEIN, M
YANKIELOWICZ, S
[J]. PHYSICAL REVIEW D, 1977, 16 (06) : 1769 - 1781
[3] FIELDS BJN, 1977, THESIS STANFORD U
[4] CRITICAL EXPONENTS FOR 3-DIMENSIONAL ISING-MODEL FROM REAL-SPACE RENORMALIZATION GROUP IN 2 DIMENSIONS
FRIEDMAN, Z
[J]. PHYSICAL REVIEW LETTERS, 1976, 36 (22) : 1326 - 1328
[5] SYSTEMATIC APPLICATION OF GENERALIZED HOMOGENEOUS FUNCTIONS TO STATIC SCALING, DYNAMIC SCALING, AND UNIVERSALITY
HANKEY, A
STANLEY, HE
[J]. PHYSICAL REVIEW B, 1972, 6 (09): : 3515 - &
[6] STUDY OF CUMULANT EXPANSION FOR RENORMALIZATION TRANSFORMATIONS ON 2-DIMENSIONAL AND 3-DIMENSIONAL ISING MODELS
HSU, S
GUNTON, JD
[J]. PHYSICAL REVIEW B, 1977, 15 (05): : 2688 - 2693
[7] JAFAREY S, UNPUBLISHED
[8] KONDO LATTICE - REAL-SPACE RENORMALIZATION-GROUP APPROACH
JULLIEN, R
FIELDS, J
DONIACH, S
[J]. PHYSICAL REVIEW LETTERS, 1977, 38 (25) : 1500 - 1503
[9] ZERO-TEMPERATURE REAL-SPACE RENORMALIZATION-GROUP METHOD FOR A KONDO-LATTICE MODEL HAMILTONIAN
JULLIEN, R
FIELDS, JN
DONIACH, S
[J]. PHYSICAL REVIEW B, 1977, 16 (11) : 4889 - 4900
[10] JULLIEN R, UNPUBLISHED

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